On Banach spaces <em>X</em> for which Π<sub>2</sub> (<em>X</em>, <em>L</em> <sub>1</sub>) = N<sub>1</sub>(X, <em>L</em> <sub>1</sub>)

Original Articles

On Banach spaces X for which Π2 (X, L 1) = N1(X, L 1)

Published in: Quaestiones Mathematicae
Volume 23 , issue 3 , 2000 , pages: 287–294
DOI: 10.2989/16073600009485978
Author(s): F. Paneque , C. Piñeiro
Download full text Get new issue alerts

Abstract

We prove that every 2-summing operator from a Banach space X into an L 1-space is nuclear if and only if X is isomorphic to a Hilbert space. Then we study the class of Banach spaces X for which Π2(l 2, X) = N 1(l 2, X).
« Finite images of groups
On Differences of Semi-Continuous Functions »

Get new issue alerts for Quaestiones Mathematicae

Latest news

   more...

Latest articles

   more...